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   "source": [
    "# 第一次作业第7题\n",
    "作者：赵飞\n",
    "学号：202018019427078\n",
    "日期：2021-04-18"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "Polynomial.fit插值方法最大误差： 1.1951461918357547\nChebyshev.fit插值方法最大误差： 6.47574749379487e-09\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "# 待拟合函数g(x)\n",
    "def g(x):\n",
    "    z = (x-1) * 5\n",
    "    return np.sin(z**2) + np.sin(z)**2\n",
    "N = 100;\n",
    "xi = np.polynomial.Chebyshev.basis(N).roots() # 插值节点\n",
    "xd = np.linspace(-1, 1, 1000) # 等距自变量\n",
    "\n",
    "p = np.polynomial.Polynomial.fit(xi, g(xi), N-1, domain=[-1, 1])\n",
    "c = np.polynomial.Chebyshev.fit(xi, g(xi), N-1, domain=[-1, 1])\n",
    "\n",
    "print(\"Polynomial.fit插值方法最大误差：\", abs(p(xd) - g(xd)).max())\n",
    "print(\"Chebyshev.fit插值方法最大误差：\", abs(c(xd) - g(xd)).max())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "# 绘图显示函数拟合情况\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "plt.plot(xd, g(xd), label=\"g(x)\")\n",
    "plt.plot(xd, p(xd), label=\"Polynomial fit\")\n",
    "plt.plot(xd, c(xd), '--', label=\"Chebyshev fit\")\n",
    "plt.legend()"
   ]
  }
 ]
}